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Problem:
A rectangle has a length that is three times its width. If the perimeter of the rectangle is 96 cm, what is the area of the rectangle?
The perimeter is given by \( 2(w + 3w) = 96 \).
Simplifying, \( 2 \times 4w = 96 \) leads to \( 8w = 96 \).
So, \( w = \frac{96}{8} = 12 \) cm.
The length is \( 3 \times 12 = 36 \) cm.
The area is \( 12 \times 36 = 432 \) cm².
#### 432